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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 860 · 40 sums
TalentJR

The method (Threes make cubes): Cube: n × n × n. Cube root: the number that, used three times, gives the cube. Units digits: 1→1, 2→8, 3→7, 4→4, 5→5, 6→6, 7→3, 8→2, 9→9, 0→0 — use them to guess cube roots. Make a perfect cube: break into primes; multiply by what completes each group of three (or divide by what is left over). A big cube of edge a cut into small cubes of edge b gives (a ÷ b)³ small cubes.

NameDateTime takenScore ___ / 40
  1. 1.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛512? =
  3. 3.Which of these is a perfect cube? (a) 2994 (b) 3309 (c) 2744
  4. 4.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  5. 5.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 3375 (b) 3771 (c) 3454
  8. 8.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is 16³? =
  10. 10.Which of these is a perfect cube? (a) 528 (b) 512 (c) 699
  11. 11.What is ∛2197? =
  12. 12.What is 10³? =
  13. 13.What is 19³? =
  14. 14.What is 3³? =
  15. 15.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  16. 16.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is ∛8? =
  18. 18.Which of these is a perfect cube? (a) 2241 (b) 2378 (c) 2197
  19. 19.Which of these is a perfect cube? (a) 1728 (b) 1947 (c) 1803
  20. 20.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  22. 22.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.What is 15³? =
  25. 25.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛343? =
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  29. 29.What is 8³? =
  30. 30.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  31. 31.Which of these is a perfect cube? (a) 1000 (b) 1207 (c) 1166
  32. 32.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  35. 35.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.What is 20³? =
  37. 37.What is 13³? =
  38. 38.What is 11³? =
  39. 39.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.What is 6³? =

Answer key

  1. 12
  2. 8
  3. 2744
  4. 4
  5. 125
  6. 7
  7. 3375
  8. 27
  9. 4096
  10. 512
  11. 13
  12. 1000
  13. 6859
  14. 27
  15. 15
  16. 125
  17. 2
  18. 2197
  19. 1728
  20. 216
  21. 18
  22. 125
  23. 8
  24. 3375
  25. 5
  26. 7
  27. 64
  28. 7
  29. 512
  30. 49
  31. 1000
  32. 13
  33. 14
  34. 2
  35. 8
  36. 8000
  37. 2197
  38. 1331
  39. 216
  40. 216

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